Search a number
-
+
2461425420 = 2235311797393
BaseRepresentation
bin1001001010110110…
…0101111100001100
320100112121100220110
42102231211330030
520020111103140
61044124520020
7114665525256
oct22255457414
96315540813
102461425420
111053457393
125883b0010
13302c4465c
14194c8ccd6
15e615b380
hex92b65f0c

2461425420 has 96 divisors (see below), whose sum is σ = 7155025920. Its totient is φ = 631572480.

The previous prime is 2461425419. The next prime is 2461425437. The reversal of 2461425420 is 245241642.

2461425420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329244 + ... + 336636.

It is an arithmetic number, because the mean of its divisors is an integer number (74531520).

Almost surely, 22461425420 is an apocalyptic number.

2461425420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461425420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577512960).

2461425420 is an abundant number, since it is smaller than the sum of its proper divisors (4693600500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2461425420 is a wasteful number, since it uses less digits than its factorization.

2461425420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7615 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2461425420 is about 49612.7546100799. The cubic root of 2461425420 is about 1350.1920933788.

The spelling of 2461425420 in words is "two billion, four hundred sixty-one million, four hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 179 186 310 358 372 465 537 620 716 895 930 1074 1790 1860 2148 2685 3580 5370 5549 7393 10740 11098 14786 16647 22179 22196 27745 29572 33294 36965 44358 55490 66588 73930 83235 88716 110895 110980 147860 166470 221790 229183 332940 443580 458366 687549 916732 1145915 1323347 1375098 2291830 2646694 2750196 3437745 3970041 4583660 5293388 6616735 6875490 7940082 13233470 13750980 15880164 19850205 26466940 39700410 41023757 79400820 82047514 123071271 164095028 205118785 246142542 410237570 492285084 615356355 820475140 1230712710 2461425420